does the system have one solution no solution or an infinite number of solutions?4x + 3y =524x + 3y =7choose the correct answer belowa. infinitely many solutionsb. one solutionc. no solution

A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.

Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1  1 |   | x |   | 15 |
| 5.90  14.75 |   | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x |   | 1  1 |^-1   | 15 |
| y | = | 5.90  14.75 |      | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877  -0.0576 |
| -0.0059   0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x |   | 0.0877  -0.0576 |   | 15 |
| y | = | -0.0059   0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.

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The critical value is 9.925, rounded to three decimal places.

To calculate the critical value for a 99.9% confidence level with a sample size of 4, we will use the t-distribution, since the population standard deviation is unknown.

The t-distribution is used when the sample size is small (usually n < 30) and the population standard deviation is unknown.

First, find the degrees of freedom (df) for the t-distribution, which is equal to the sample size (n) minus 1:

Next, we need to find the critical value (t) that corresponds to a 99.9% confidence level (or a 0.999 probability) and 3 degrees of freedom. We will look this up in a t-distribution table or use a t-distribution calculator.

Using a t-distribution calculator or table, the t-score corresponding to a 99.9% confidence level (two-tailed) and 3 degrees of freedom is approximately 9.925.

So, the critical value is 9.925, rounded to three decimal places.

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Answer:

Step-by-step explanation:

(-2-3)-(4-5)+ (−1+6)−(−9+8)

-5-4+5-1+6+9-8

-9+4+15-8

-5+7

2

Answer: A

Step-by-step explanation:

First, the problem is g(f(x)). You would plug in f(x) wherever you see an x in g(x). To find the domain, you take the bottom function, and set it equal to 0.

\(\sqrt{x-2} =0\)

When you solve that, you get x=2. You know your domain is x≥2, but there is as asymptote at x=11. That means the graph never reaches x=11, but gets very close. You find that by setting the entire equation equal to 0 and solve from there.

Answer:

what exactly do i need to do ?????

Step-by-step explanation:

Circumference of a circle =2πr

6.28=2πr

3.14=πr

3.14/π=r

3.14/3.14=r

Answer:

\(r=4.38\)

Step-by-step explanation:

Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)

\(\frac{d}{t} = \frac{rt}{t}\)

\(t\) cancels out on the right side.

Step 2: Substitute in the numerals

\(r=\frac{d}{t}\)

\(r=\frac{5.7}{1.3}\)

Step 3: Divide

\(r=4.38\) \(mph\)

There's your answer!

Hope this helps you!

For class absences, the mean is 2.83, the median is 1.5 and the mode is 0.

For exam scores, the mean is 68.33, median is 72 and the mode is 40.

For GPAs, the Mean is 3.04, the median is 3.03 and there is no mode.

The outlier, 15, in class absences may distort the measure of center.

Mean, median, and mode are measures of central tendency. Measures of central tendency attempt to describe a dataset by determining its central values.

Mean is the average of a set of numbers. Median is the number that is at the center of a dataset that is arranged either in ascending or descending order. Mode is the number that occurs most frequently in the dataset.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set.

Class absences:

Mean = (0 + 0 + 0 + 0 + 0 + 1 + 2 + 3 + 3 + 5 + 5 + 15) / 12 = 34 / 12 = 2.83

Median = (1 + 2) / 2 = 1.5

Mode = 0

Exam scores :

Mean = (40 + 40 + 65 + 71 + 72 + 75 + 76 + 78 + 98) / 9 = 68.33

Median = 72

Mode = 40

GPAs:

Mean = ( 2.25 + 2.55 +  2.95 + 3.02 + 3.04 + 3.37 + 3.51 + 3.66) / 8 = 3.04

Median = (3.02 + 3.04) / 2 = 3.03

Mode =

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By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

  x ≠ 5

Step-by-step explanation:

For the two points to represent a function, the value of x cannot be repeated. The only restriction on the values of x and y is that x is not 5. (x can be anything but 5.)

Answer:

The value of x can be

✔ any real number except 5

.

The value of y can be

✔ any real number

Step-by-step explanation:

i got it correct on edguinty

In a case whereby One number is 11 less than another ,If their sum is increased by eight, the result is 81 the numbers will be 42.

The concept that will be used here is summation. A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. There are summations with an infinite number of terms.

Let the first number be wriiten as = x

second number = x-11

The we can add up as :

(x + x -11 + 8) =81

2x -3 =81

2x =84

x = 42

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Dan gets 6 bananas and George gets 12 bananas

hope it helps...!!!

Answer:

i think its the one on the left. The blue one concine.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

16.5/22 = 0.75

0.75 x 100 = 75

∴ 75% of the tank is full.

Answer:

Pythagorean theorem:

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576

b^2 = 432

b=20.8

Let me know if this helps!

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

It is just a way of describing a set.

You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.

Here are a few examples:

{x| x > 0} This is read: The set of all x such that x is greater than 0.

Reading it character by character:

{ — shows you that we are talking about a set, and it sort of opens up, or starts the set

x — tells you that we are talking about a set of elements x

| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.

x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.

So this example is just how you would use set builder notation to talk about the set “the positive real numbers”

So why use it? Because it can describe more complicated sets much more succinctly.

2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}

3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.

Answer:

15

Step-by-step explanation:

If y is 20 when x is 5 then x is always 1/4 of y

60*(1/4)=15

Answer:

you can make 12 cans of them

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

(0,2)

Step-by-step explanation:

The equations representing the situation are x + y + z = 155,x = 9y and y = 3z where x,y and z are corresponding 135,15 and 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Total vehcile x + y + z = 155

Nine times as many cars were rented as vans ⇒

x = 9y

Three times as many vans were rented as trucks ⇒

y = 3z

By substituting,

9y + y + y/3 = 155

10y + y/3 = 155

y = 15

x = 9(15) = 135

z = 15/3 = 5

Hence "The equations representing the situation are x + y + z = 155,x = 9y and y = 3z where x,y and z are corresponding 135,15 and 5".

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Given question is incomplete complete question is attached below ;

Answer:

8 1/6 / 1 7/8 = 196/45 = 4 16/45 ≅ 4.3555556

Step-by-step explanation:

Conversion a mixed number 8 1/6

to a improper fraction: 8 1/6 = 8 1/6 = 8 · 6 + 1/6= 48 + 1/6 = 49/6

To find new numerator:

a) Multiply the whole number 8 by the denominator 6. Whole number 8 equally 8 * 6/6 = 48/6

b) Add the answer from previous step 48 to the numerator 1. New numerator is 48 + 1 = 49

c) Write a previous answer (new numerator 49) over the denominator 6.

Eight and one sixth is forty-nine sixths

Conversion a mixed number 1 7/8

to a improper fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8= 15/8

To find new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8

b) Add the answer from previous step 8 to the numerator 7. New numerator is 8 + 7 = 15

c) Write a previous answer (new numerator 15) over the denominator 8.

One and seven eighths is fifteen eighths

Divide: 49/6 : 15/8 = 49/6 · 8/15 = 49 · 8/6 · 15 = 392/90 = 2 · 196 /2 · 45 = 196/45

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 15/

8 is 8/15

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 2 gives 196/45

.

In words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.

Answer:

x=21

Step-by-step explanation:

21÷3=7

7-6=1

The answer would be 21

Answer:

21

Step-by-step explanation:

do the opposite of the equation *ex. multiplication becomes division, the number at the end goes to the beginning*

1. subtract turns to addition

 * 1 + 6

   = 7

2. division become multiplication

7·3

= 21

plug it in

21÷3 = 7

7-1=6

Answer:

the answer is b, c, d, a, respectively

Answer: \(x=0, -\frac{3}{2}\)

Step-by-step explanation:

\(4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}\)

Answer:

a

Step-by-step explanation: